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In a new bottle of soda, the concentration of carbon dioxide in the liquid phase has a particular value. If half of the liquid is poured out and the bottle is sealed, carbon dioxide will leave the liquid phase at an ever-decreasing rate, and the partial pressure of carbon dioxide in the gas phase will increase until equilibrium is reached.
John Tilton Hack (1913–1991) was an American geologist and geomorphologist known for his contributions to establish the dynamic equilibrium concept in landscapes. Hack's law, concerning the empirical relationship between the length of streams and the area of their basins, is named after him. Hack was a student of Kirk Bryan.
If a system is not in static equilibrium, D'Alembert showed that by introducing the acceleration terms of Newton's laws as inertia forces, this approach is generalized to define dynamic equilibrium. The result is D'Alembert's form of the principle of virtual work, which is used to derive the equations of motion for a mechanical system of rigid ...
In chemistry, dynamic equilibrium refers to a reversible reaction which has achieved a steady state. In economics, dynamic equilibrium may refer to: Economic equilibrium#Dynamic equilibrium; Intertemporal equilibrium; Recursive competitive equilibrium
In chemistry, a steady state is a more general situation than dynamic equilibrium. While a dynamic equilibrium occurs when two or more reversible processes occur at the same rate, and such a system can be said to be in a steady state, a system that is in a steady state may not necessarily be in a state of dynamic equilibrium, because some of ...
Linear approximation of a nonlinear system: classification of 2D fixed point according to the trace and the determinant of the Jacobian matrix (the linearization of the system near an equilibrium point). The roots of the characteristic polynomial det(A - λI) are the eigenvalues of A.
Partial equilibrium, the equilibrium price and quantity which come from the cross of supply and demand in a competitive market; Radner equilibrium, an economic concept defined by economist Roy Radner in the context of general equilibrium; Recursive competitive equilibrium, an economic equilibrium concept associated with a dynamic program
A geomorphological system said to be in dynamic steady state has values that oscillate between maxima and minima around a central mean value. The flux of sediment from an undisturbed drainage basin changes over the short-term as rainstorms come and go, individual hillslopes fail in mass movements, and riverbanks collapse.